Generalized wavelet bases related to the discrete Vilenkin-Chrestenson transform (Q2780509)

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scientific article; zbMATH DE number 1729116
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Generalized wavelet bases related to the discrete Vilenkin-Chrestenson transform
scientific article; zbMATH DE number 1729116

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    21 November 2002
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    factorization of matrices
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    fast algorithms
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    generalized wavelet bases
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    Haar-Chrestenson wavelet
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    Generalized wavelet bases related to the discrete Vilenkin-Chrestenson transform (English)
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    Two recurrence sequences of orthogonal bases in the spaces of discrete \(N\)-periodic signals for \(N=n^s\) are constructed. These sequences can be used for constructing generalized wavelet packets. The Haar-Chrestenson wavelet bases related to subsampling in time and frequency are studied. Decomposition and reconstruction formulas are obtained.
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